A dynamic Tresca's frictional contact problem with damage for thermo elastic-viscoplastic bodies

Ilyas Boukaroura, Seddik Djabi

Abstract


We consider a dynamic contact problem between an elastic-viscoplastic body and a rigid obstacle. The contact is frictional and bilateral, the friction is modeled with Tresca's law with heat exchange. We employ the elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type.We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniquness result on parabolic inequalities, differentiel equations and fixed point argument.

Keywords


elastic-viscoplastic, temperature,variationel inequality, fixed point

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2019.3.13

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